Energy stable discretization for two-phase porous media flows - Archive ouverte HAL
Communication Dans Un Congrès Année : 2020

Energy stable discretization for two-phase porous media flows

Résumé

We propose a P1 finite-element scheme with mass-lumping for a model of two incompressible and immiscible phases in a porous media flow. We prove the dissipation of the free energy and the existence of a solution to the nonlinear scheme. We also present numerical simulations to illustrate the behavior of the scheme.
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Dates et versions

hal-02442233 , version 1 (16-01-2020)
hal-02442233 , version 2 (24-01-2020)

Identifiants

  • HAL Id : hal-02442233 , version 2

Citer

Clément Cancès, Flore Nabet. Energy stable discretization for two-phase porous media flows. Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. ⟨hal-02442233v2⟩
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